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130443988416 = 2637809119971
BaseRepresentation
bin111100101111100010…
…0010100110111000000
3110110200212101012020020
41321133010110313000
54114122130112131
6135531455213440
712265344415140
oct1713704246700
9413625335206
10130443988416
115035925a205
1221345517280
13c3bab78181
146456440920
1535d6d15996
hex1e5f114dc0

130443988416 has 112 divisors (see below), whose sum is σ = 394928628480. Its totient is φ = 37223331840.

The previous prime is 130443988391. The next prime is 130443988421. The reversal of 130443988416 is 614889344031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1304439884162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027311 + ... + 1147281.

Almost surely, 2130443988416 is an apocalyptic number.

130443988416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130443988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197464314240).

130443988416 is an abundant number, since it is smaller than the sum of its proper divisors (264484640064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130443988416 is a wasteful number, since it uses less digits than its factorization.

130443988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120802 (or 120792 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 130443988416 in words is "one hundred thirty billion, four hundred forty-three million, nine hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 809 1344 1618 2427 3236 4854 5663 6472 9708 11326 12944 16989 19416 22652 25888 33978 38832 45304 51776 67956 77664 90608 119971 135912 155328 181216 239942 271824 359913 362432 479884 543648 719826 839797 959768 1087296 1439652 1679594 1919536 2519391 2879304 3359188 3839072 5038782 5758608 6718376 7678144 10077564 11517216 13436752 20155128 23034432 26873504 40310256 53747008 80620512 97056539 161241024 194113078 291169617 388226156 582339234 679395773 776452312 1164678468 1358791546 1552904624 2038187319 2329356936 2717583092 3105809248 4076374638 4658713872 5435166184 6211618496 8152749276 9317427744 10870332368 16305498552 18634855488 21740664736 32610997104 43481329472 65221994208 130443988416